Find the coordinates of the points of intersection of the graphs without building them: 20x–15y=100 and 3x–5=6y

Point of Interception will be (7,8/3)

Step-by-step explanation:

Point of intersection of two graph equations mean to find the value of x and y.

So,

20x - 15y = 100(1)

3x - 6y = 5(2)

Multiplying (1) with 3 and (2) with 20.

{20x - 15y = 100} * 3

= 60x - 45y = 300__(3)

&

{3x - 6y = 5} * 20

= 60x - 120y = 100_(4)

Subtracting (4) from (3),

60x - 45y = 300

60x - 120y = 100

-+-

75y = 200

y = 200/75 = 8/3

Substituting the value of y in (2)

3x - 6(8/3) = 5

3x - 16 = 5

3x = 5+16 = 21

x = 21/3 = 7

x = 7

The coordinates of interception will be x-intercept = 7 & y-intercept = 8/3.

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step-by-step explanation: